Design: Blocked RCT, with 2 levels, and randomization done at level 1 (individual level).
Models: Constant treatment effects, fixed treatment effects, and random treatment effects.
Default parameters:
Parameters by model type:
Assumptions:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(\bar{n}\) = 50
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6 (This should not affect power!)
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.8, 0.8, 0.8
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.126 | 0.555 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.122 | 0.36 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.126 | 0.488 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.124 | 0.411 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2c
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.127 | 0.559 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.123 | 0.364 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.125 | 0.487 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.123 | 0.406 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2f
##
##
## +------------+---------------+-------------+-------------+
## | MTP | Adjusted MDES | Indiv Power | Target MDES |
## +============+===============+=============+=============+
## | rawp | 0.124 | 0.458 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Bonferroni | 0.118 | 0.234 | 0.125 |
## +------------+---------------+-------------+-------------+
## | BH | 0.126 | 0.382 | 0.125 |
## +------------+---------------+-------------+-------------+
## | Holm | 0.125 | 0.299 | 0.125 |
## +------------+---------------+-------------+-------------+
##
## Table: blocked_i1_2r
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 21 | 0.493 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 21 | 0.427 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | BH | nbar | 51 | 0.488 | 50 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | nbar | 51 | 0.429 | 50 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2c
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 20 | 0.477 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 20 | 0.408 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | BH | nbar | 51 | 0.489 | 50 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | nbar | 51 | 0.421 | 50 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2f
##
##
## +------+-------------+-------------+------------+--------------------+
## | MTP | Sample type | Sample size | min2 power | Target sample size |
## +======+=============+=============+============+====================+
## | BH | J | 21 | 0.373 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | J | 21 | 0.302 | 20 |
## +------+-------------+-------------+------------+--------------------+
## | BH | nbar | 52 | 0.375 | 50 |
## +------+-------------+-------------+------------+--------------------+
## | Holm | nbar | 50 | 0.295 | 50 |
## +------+-------------+-------------+------------+--------------------+
##
## Table: blocked_i1_2r